4. You are going to buy your first home. This house you will buy at the current median Charlotte area home price of approximately $190,000. You will put 20% down and finance the remaining 80% of the house value with a 30-year, fixed rate mortgage at 4% a. What will be your monthly mortgage payment? b. Build a monthly amortization chart for the first year of the mortgage. This chart should show for each month the mortgage beginning balance, the mortgage payment amount, the interest payment amount, the principal payment amount, and the ending balance. C. What will be the balance of the loan at the end of 5 years, 10 year, 15 years, 20 years, 25 years, and 30 years? (The end of months 60, 120, 180, 240, 300 and 360, respectively.) d. How much interest is paid between the end of month 120 and the end of month 240? 5. On Friday, October 30, 1981, 30-year fixed mortgage rates in the United States peaked at 18.44% (for real.) a. Assume that you wanted to buy a house then for $200,000. What would your monthly payment be? b. Today, comparable rates are at roughly 3.75%. What would be the monthly payment at 3.75% be? C. In the first year, how much interest and would you have paid using the 1981 rates? How much principal would you have paid? d. How much interest would you pay using today's rates in the first year? How much principal would you pay